Brooks, 60, will continue to serve as chairman of the board of the company through December 2013.

"The board of directors has worked closely with Doug for an extended period of time on this transition and unanimously supported Wyman's selection as his successor," said Joe DePinto, lead director, in a statement released by the company. "Brinker has been extremely fortunate to have been led by Doug, who skillfully guided the company through challenging times, augmenting what was already a strong culture and turning it into a competitive advantage. Doug leaves his current role as CEO and president with the company on solid footing in an upward trajectory."

Brinker International (NYSE: EAT) is the parent company of restaurant brands Chili's Grill & Bar and Maggiano's Little Italy.

During Brooks' 35 years with the company, Brinker has grown from three restaurants in one state to 1,585 restaurants generating $2.8 billion in annual revenue.

Brooks will continue to serve on the board of directors for Southwest Airlines, Romano's Macaroni Grill, Limbs for Life Foundation and Kenny Can Foundation; and on the professional advisory board of St. Jude Children's Research Hospital.

Roberts was named president of Chili's Grill & Bar in 2009 and will continue in that role.